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Finding the Fourth Proportional to 3,536.67, 4,869.50 and 3,004.44

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Solution

The fourth proportional to 3,536.67, 4,869.50 and 3,004.44 is: 4,136.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,536.67 : 4,869.50 = 3,004.44 : x
  2. Step 2: Convert to fraction form
    3,536.67/4,869.50 = 3,004.44/x
  3. Step 3: Cross multiply
    3,536.67x = 4,869.50 × 3,004.44
  4. Step 4: Simplify right side
    3,536.67x = 14,630,105.56
  5. Step 5: Solve for x
    x = 14,630,105.56/3,536.67
  6. Step 6: Final answer
    x = 4,136.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.